HP 40gs User Manual page 285

hp40g+.book Page 11 Friday, December 9, 2005 1:03 AM
Step-by-Step Examples
Now consider the product of two of the definitions
entered above: B(N) × C(N):
B N
C
N .
Press ,
to select EXP2POW and
press .
Press to evaluate
the expression, yielding the
result of B(N) × C(N).
Consider now the decomposition of A(6) into its prime
factors.
Press ,
to select FACTOR and press
.
Now press A
Finally, press to get
the result. The factors are
listed, separated by a
medial period. In this case,
the factors are 3, 23, 29
and 1999.
Now let's consider whether b
Here, the calculator is useful only for trying out different
values of n.
To show that b and c are relatively prime, it is enough
n n
to note that:
c = b + 2
n n
That means that the common divisors of b
common divisors of b and 2, as well as the common
n
divisors of c and 2. b and 2 are relatively prime
n n
because b is a prime number other than 2. So:
n
6.
and c are relatively prime.
n n
and c are the
n n
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